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                                                                    EXHIBIT 31.1

                                 CERTIFICATIONS

I, Richard M. Deneau, President and Chief Executive Officer, certify that:

            1.    I have reviewed this quarterly report on Form 10-Q of Anchor
Glass Container Corporation;

            2.    Based on my knowledge, this report does not contain any untrue
statement of a material fact or omit to state a material fact necessary to make
the statements made, in light of the circumstances under which such statements
were made, not misleading with respect to the period covered by this report;

            3.    Based on my knowledge, the financial statements, and other
financial information included in this report, fairly present in all material
respects the financial condition, results of operations and cash flows of the
registrant as of, and for, the periods presented in this report;

            4.    The registrant's other certifying officer and I are
responsible for establishing and maintaining disclosure controls and procedures
(as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control
over financial reporting (as defined in Exchange Act Rules 13a-15(f) and
15d-15(f)) for the registrant and have:

                  (a)   Designed such disclosure controls and procedures, or
      caused such disclosure controls and procedures to be designed under our
      supervision, to ensure that material information relating to the
      registrant, including its consolidated subsidiaries, is made known to us
      by others within those entities, particularly during the period in which
      this report is being prepared;

                  (b)   Designed such internal control over financial reporting,
      or caused such internal control over financial reporting to be designed
      under our supervision, to provide reasonable assurance regarding the
      reliability of financial reporting and the preparation of financial
      statements for external purposes in accordance with generally accepted
      accounting principles;

                  (c)   Evaluated the effectiveness of the registrant's
      disclosure controls and procedures and presented in this report our
      conclusions about the effectiveness of the disclosure controls and
      procedures, as of the end of the period covered by this report based on
      such evaluation; and

                  (d)   Disclosed in the report any change in the registrant's
      internal control over financial reporting that occurred during the
      registrant's most recent fiscal quarter (the registrant's fourth fiscal
      quarter in the case of an annual report) that has materially affected, or
      is reasonably likely to materially affect, the registrant's internal
      control over financial reporting; and

            5.    The registrant's other certifying officer and I have
disclosed, based on our most recent evaluation of internal control over
financial reporting, to the registrant's auditors and the audit committee of
registrant's board of directors (or persons performing the equivalent
functions):

                  (a)   all significant deficiencies and material weaknesses in
      the design or operation of internal control over financial reporting which
      are reasonably likely to adversely affect the registrant's ability to
      record, process, summarize and report financial information; and

                  (b)   any fraud, whether or not material, that involves
      management or other employees who have a significant role in the
      registrant's internal control over financial reporting.

Date: May 6, 2004

/s/ Richard M. Deneau
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Name:  Richard M. Deneau
Title: President and Chief Executive Officer